Answer:
m<ABC=94°
m<BCD=25°
m<ACB=43°
Step-by-step explanation:
To find <mBCD
m<ABD=133°, so m<CBD=133° too.
A triangle is equal to 180°.
22°+133°=155°
80°-155°=25°
To find <mACB
You first need to know triangle ACD measurements.
m<ADC=44° (22°+22°)
Then you take the two 25 and add them.
25°+25°=50°
50°+44°=94°
180°-94°=86°
86°÷2=43°
To find m<ABC
43°+43°=86°
180°-86°=94°
115>5.75x+28.75
5.75x+28.75<115
5.75x<115-28.75
5.75x<86.25
x<86.25/5.75
x<15 or (-∞,15)
Answer: x<15 or (-∞,15)
Answer:
2239
Step-by-step explanation:
Given-
Percent of peopl polling yes to the question "Are you in favor of the death penalty for a person convicted of murder?"
%
Margin error in the poll
%
Confidence Interval
%
The alpha value is ![1 -0.95 =0.05](https://tex.z-dn.net/?f=1%20-0.95%20%3D0.05)
The
for Confidence Interval of
% ![= 0.196](https://tex.z-dn.net/?f=%3D%200.196)
The sample size is given by
![n = p*q*(\frac{z}{e} )^2](https://tex.z-dn.net/?f=n%20%3D%20p%2Aq%2A%28%5Cfrac%7Bz%7D%7Be%7D%20%29%5E2)
Where,
![p = \frac{37}{100} = 0.37 q = 100-0.37 = 0.63 e =2/100 = 0.02 z = 1.96 (critical value)n = p*q*(\frac{z}{e} )^2 = 0.37 * 0.63(\frac{1.96}{0.02} )^2 \\n = 2238.69\\n= 2239](https://tex.z-dn.net/?f=p%20%3D%20%5Cfrac%7B37%7D%7B100%7D%20%20%3D%200.37%20q%20%3D%20100-0.37%20%3D%200.63%20e%20%3D2%2F100%20%3D%200.02%20z%20%3D%201.96%20%28critical%20value%29n%20%3D%20p%2Aq%2A%28%5Cfrac%7Bz%7D%7Be%7D%20%29%5E2%20%3D%200.37%20%2A%200.63%28%5Cfrac%7B1.96%7D%7B0.02%7D%20%29%5E2%20%5C%5Cn%20%3D%202238.69%5C%5Cn%3D%202239)